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Finding the Fourth Proportional to 13,643.64, 18,819.72 and 9,387.36

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Solution

The fourth proportional to 13,643.64, 18,819.72 and 9,387.36 is: 12,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.64 : 18,819.72 = 9,387.36 : x
  2. Step 2: Convert to fraction form
    13,643.64/18,819.72 = 9,387.36/x
  3. Step 3: Cross multiply
    13,643.64x = 18,819.72 × 9,387.36
  4. Step 4: Simplify right side
    13,643.64x = 176,667,486.74
  5. Step 5: Solve for x
    x = 176,667,486.74/13,643.64
  6. Step 6: Final answer
    x = 12,948.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.